Detection of computer generated gravitational waves in numerical cosmologies
We propose to study the behavior of complicated numerical solutions to Einstein's equations for generic cosmologies by following the geodesic motion of a swarm of test particles. As an example, we consider a cylinder of test particles initially at rest in the plane symmetric Gowdy universe onT3×R. For a circle of test particles in the symmetry plane, the geodesic equations predict evolution of the circle into distortions and rotations of an ellipse as well as motion perpendicular to the plane. The evolutionary sequence of ellipses depends on the initial position of the circle of particles. We display snapshots of the evolution of the cylinder.
KeywordsInitial Position Differential Geometry Gravitational Wave Symmetry Plane Test Particle
Unable to display preview. Download preview PDF.
- 1.Berger, B. K., and Moncrief, V. (1993).Phys. Rev. D 48, 4676.Google Scholar
- 2.Moncrief, V. (1986).Ann. Phys. (NY) 167, 118.Google Scholar
- 3.Gowdy, R. H. (1971).Phys. Rev. Lett. 27, 826, E1102; Gowdy, R. H. (1974).Ann. Phys. (NY) 83, 203.Google Scholar
- 4.Berger, B. K., Garfinkle, D., Moncrief, V., and Swift, C. M. (1994).Proc. NATO Advanced Research Workshop on Deterministic Chaos in General Relativity, D. Hobill et al., eds. (Plenum, New York); Berger, B. K., Garfinkle, D., Grubišić, B., Moncrief, V., and Swamy, V. (1994).Proc. Lanzcos Symposium, J. D. Brown, M. T. Chu, D. C. Ellison, R. J. Plemmons, eds. (SIAM, Philadelphia, PA); Berger, B. K., Garfinkle, D., Moncrief, V. and Swift, C. M. (1994).Proc. AMS-CMS Special Session on Geometric Methods in Mathematical Physics, J. Beem and K. Duggal, eds. (A.M.S., Providence, R.I.).Google Scholar
- 5.Grubišić, B. and Moncrief, V. (1993).Phys. Rev. D 47, 2371.Google Scholar